Such a state has been achieved with high fidelity by using decoupled
double wells [1]}. The procedure adopted for the initial
state \(|ini\rangle _1\)  is to calculate it as the ground state of a
suitably chosen Hamiltonian \(H_{ini}=H(J_z\rightarrow +\infty )\) . The
quantum quench is performed when the anisotropic interaction
parameter is abruptly varied from an initially very large value down
to finite values [2]}.
